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Finding the Third Proportional to 171,922.50 and 265,674.09

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Solution

The third proportional to 171,922.50 and 265,674.09 is: 410,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,922.50 : 265,674.09 = 265,674.09 : x
  2. Step 2: Convert to fraction form
    171,922.50/265,674.09 = 265,674.09/x
  3. Step 3: Cross multiply
    171,922.50x = 265,674.09 × 265,674.09
  4. Step 4: Simplify right side
    171,922.50x = 70,582,724,089.88
  5. Step 5: Solve for x
    x = 70,582,724,089.88/171,922.50
  6. Step 6: Final answer
    x = 410,549.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.